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Finding the Third Proportional to 9,731.25 and 21,990

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Solution

The third proportional to 9,731.25 and 21,990 is: 49,691.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,731.25 : 21,990 = 21,990 : x
  2. Step 2: Convert to fraction form
    9,731.25/21,990 = 21,990/x
  3. Step 3: Cross multiply
    9,731.25x = 21,990 × 21,990
  4. Step 4: Simplify right side
    9,731.25x = 483,560,100
  5. Step 5: Solve for x
    x = 483,560,100/9,731.25
  6. Step 6: Final answer
    x = 49,691.47

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.